Color Dressed Unitarity and Recursion for Yang-Mills Two-Loop All-Plus Amplitudes

TL;DR

This paper introduces a novel method for computing two-loop five-point all-plus Yang-Mills amplitudes using four-dimensional unitarity and recursion, providing compact analytic results without full integral methods.

Contribution

It presents a new approach combining unitarity and recursion for two-loop amplitude calculations, avoiding traditional integral techniques.

Findings

Results match previous explicit computations

Amplitudes expressed in compact analytic forms

Method simplifies two-loop amplitude calculations

Abstract

We present a direct computation of the full color two-loop five-point all-plus Yang-Mills amplitude using four dimensional unitarity and recursion. We present the $SU(N_c)$ amplitudes in compact analytic forms. Our results match the explicit expressions previously computed but do not require full two-loop integral methods.